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Finding the Fourth Proportional to 517.32, 776.04 and 239.62

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Solution

The fourth proportional to 517.32, 776.04 and 239.62 is: 359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 776.04 = 239.62 : x
  2. Step 2: Convert to fraction form
    517.32/776.04 = 239.62/x
  3. Step 3: Cross multiply
    517.32x = 776.04 × 239.62
  4. Step 4: Simplify right side
    517.32x = 185,956.10
  5. Step 5: Solve for x
    x = 185,956.10/517.32
  6. Step 6: Final answer
    x = 359.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.